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Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case

TitleFracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case
Publication TypeJournal Article
Year of Publication2016
AuthorsDal Maso, G, Orlando, G, Toader, R
JournalCalculus of Variations and Partial Differential Equations
Volume55
Pagination45
Date PublishedApr
ISSN1432-0835
Abstract

We study the asymptotic behavior of a variational model for damaged elasto-plastic materials in the case of antiplane shear. The energy functionals we consider depend on a small parameter $\varepsilon$, which forces damage concentration on regions of codimension one. We determine the $\Gamma$-limit as $\varepsilon$ tends to zero and show that it contains an energy term involving the crack opening.

URLhttps://doi.org/10.1007/s00526-016-0981-z
DOI10.1007/s00526-016-0981-z

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